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20302301232 = 24324712132473
BaseRepresentation
bin10010111010000111…
…001000100000110000
31221101220100202120200
4102322013020200300
5313034342114412
613154324435200
71316052466413
oct227207104060
957356322520
1020302301232
118679135454
123b27248b00
131bb71cccc5
14da84d7b7a
157dc5819dc
hex4ba1c8830

20302301232 has 120 divisors (see below), whose sum is σ = 58098465984. Its totient is φ = 6615309312.

The previous prime is 20302301147. The next prime is 20302301251. The reversal of 20302301232 is 23210320302.

It is a happy number.

20302301232 is a `hidden beast` number, since 203 + 0 + 230 + 1 + 232 = 666.

It is a super-3 number, since 3×203023012323 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8208348 + ... + 8210820.

Almost surely, 220302301232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20302301232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29049232992).

20302301232 is an abundant number, since it is smaller than the sum of its proper divisors (37796164752).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20302301232 is a wasteful number, since it uses less digits than its factorization.

20302301232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3747 (or 3738 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 20302301232 its reverse (23210320302), we get a palindrome (43512621534).

The spelling of 20302301232 in words is "twenty billion, three hundred two million, three hundred one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 72 94 141 144 188 282 376 423 564 752 846 1128 1213 1692 2256 2426 2473 3384 3639 4852 4946 6768 7278 7419 9704 9892 10917 14556 14838 19408 19784 21834 22257 29112 29676 39568 43668 44514 57011 58224 59352 87336 89028 114022 116231 118704 171033 174672 178056 228044 232462 342066 348693 356112 456088 464924 513099 684132 697386 912176 929848 1026198 1046079 1368264 1394772 1859696 2052396 2092158 2736528 2789544 2999749 4104792 4184316 5579088 5999498 8209584 8368632 8999247 11998996 16737264 17998494 23997992 26997741 35996988 47995984 53995482 71993976 107990964 140988203 143987952 215981928 281976406 422964609 431963856 563952812 845929218 1127905624 1268893827 1691858436 2255811248 2537787654 3383716872 5075575308 6767433744 10151150616 20302301232